On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem
We prove that unique ergodicity of tensor product of a C*-dynamical system implies its strictly weak mixing. By means of this result a uniform weighted ergodic theorem with respect to S-Besicovitch sequences for strictly weak mixing dynamical systems is proved.Moreover, we provide certain examples...
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| Language: | English |
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Akademiai Kiado
2010
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| Online Access: | http://irep.iium.edu.my/1595/ http://irep.iium.edu.my/1595/ http://irep.iium.edu.my/1595/ http://irep.iium.edu.my/1595/1/mf-StudiaSMH%282010%29.pdf |
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eprints |
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iium-15952011-11-11T06:39:22Z http://irep.iium.edu.my/1595/ On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem Mukhamedov, Farrukh QA Mathematics We prove that unique ergodicity of tensor product of a C*-dynamical system implies its strictly weak mixing. By means of this result a uniform weighted ergodic theorem with respect to S-Besicovitch sequences for strictly weak mixing dynamical systems is proved.Moreover, we provide certain examples of strictly weak mixing dynamical systems. Akademiai Kiado 2010-06 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1595/1/mf-StudiaSMH%282010%29.pdf Mukhamedov, Farrukh (2010) On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem. Studia Scientiarum Mathematicarum Hungarica, 47 (2). pp. 155-174. ISSN 1588-2896 (O), 0081-6906 (P) http://www.akademiai.com/content/40350175558172k2/ doi:10.1556/SScMath.2009.1122 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Mukhamedov, Farrukh On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| description |
We prove that unique ergodicity of tensor product of a C*-dynamical system implies its strictly weak mixing. By means of this result a uniform weighted ergodic theorem with
respect to S-Besicovitch sequences for strictly weak mixing dynamical systems is proved.Moreover, we provide certain examples of strictly weak mixing dynamical systems. |
| format |
Article |
| author |
Mukhamedov, Farrukh |
| author_facet |
Mukhamedov, Farrukh |
| author_sort |
Mukhamedov, Farrukh |
| title |
On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| title_short |
On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| title_full |
On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| title_fullStr |
On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| title_full_unstemmed |
On strictly weak mixing C*-dynamical systems and a weighted ergodic theorem |
| title_sort |
on strictly weak mixing c*-dynamical systems and a weighted ergodic theorem |
| publisher |
Akademiai Kiado |
| publishDate |
2010 |
| url |
http://irep.iium.edu.my/1595/ http://irep.iium.edu.my/1595/ http://irep.iium.edu.my/1595/ http://irep.iium.edu.my/1595/1/mf-StudiaSMH%282010%29.pdf |
| first_indexed |
2023-09-18T20:08:58Z |
| last_indexed |
2023-09-18T20:08:58Z |
| _version_ |
1777407349365932032 |